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Finding the Fourth Proportional to 7,762.48, 11,645.17 and 7,058.24

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Solution

The fourth proportional to 7,762.48, 11,645.17 and 7,058.24 is: 10,588.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,762.48 : 11,645.17 = 7,058.24 : x
  2. Step 2: Convert to fraction form
    7,762.48/11,645.17 = 7,058.24/x
  3. Step 3: Cross multiply
    7,762.48x = 11,645.17 × 7,058.24
  4. Step 4: Simplify right side
    7,762.48x = 82,194,372.50
  5. Step 5: Solve for x
    x = 82,194,372.50/7,762.48
  6. Step 6: Final answer
    x = 10,588.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.